In this paper, we propose a method for hedge fund replication using a factor-based model supplemented with a series of risk and return constraints that implicitly target all the moments of the hedge fund return distribution. We use the approach to replicate the monthly returns of ten broad hedge...

Using sectorial indices of the Brazilian market, we compare the portfolio optimization approach known as risk parity with minimum variance and equally weighted approaches. We apply various estimators for the covariance matrix to each portfolio strategy, since portfolio variance is considered as...

Trading with futures is complex and abounds with risks, to mitigate which a multi-pronged approach such as diversification in different asset classes across dissimilar markets or imposing risk budgets on individual assets and/or asset classes or enforcing capital budgets and other investor...

Measuring risk is at the center of modern financial risk management. As the world economy is becoming more complex and standard modeling assumptions are violated, the advanced artificial intelligence solutions may provide the right tools to analyze the global market. In this paper, we provide a...

Risk parity has been considered a heuristic asset allocation method. In this paper, we show that, to the contrary, risk parity is a special case of a mean-risk type of a portfolio optimization problem with log-regularization to constrain weights. We show that log-regularization leads to a fund...

A basket is a set of instruments that are held together because its statistical profile delivers a desired goal, such as hedging or trading, which cannot be achieved through the individual constituents or even subsets of them. Multiple procedures have been proposed to compute hedging and trading...

Defined-benefit (DB) pension funds, which are often underfunded, rely on the legal obligation of their sponsor to secure pension rights. This paper is the first to solve the optimal portfolio choice problem of pension funds taking into account the risk on the sponsor's guarantee, and we show...

The most recent financial crisis highlights the importance of event risks and the ensuing market illiquidity and worsening investment opportunity set for optimal portfolio selection. However, the existing portfolio selection literature does not consider the joint impact of these risks. In this...

While it is often argued that allocation decisions can be best expressed in terms of exposure to rewarded risk factors, as opposed to somewhat arbitrary asset class decompositions, the practical implications of this paradigm shift for the optimal design of the policy portfolio still remain...

Measures of model risk based on the residual error from hedging in a misspecified model were recently proposed in (Detering and Packham, 2013). These measures rely on the assumption that the model used for hedging represents a complete financial market. We show that under certain conditions, in...